The function f is defin ed by f(x)=3/17x+2. if x increases by 51, by how much does f(x) increase

Explanation:

The given function, F(x) = 3/17x + 2, is a linear function. So it has a constant slope.

The coefficient of the variable x is the slope of the function: 3/17.

The slope of the function is the rate of change of the function with respect to x.

Thus:

Then, if x increases by 51 you have:

Now solve for ΔF = (3 / 17) × 51 = 9

Thus, you have obtained that if x increases by 51, F(x) increases by 9.

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step-by-step explanation: